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Łukasz Garncarek

Łukasz Garncarek
Applica.ai

PhD

About

17
Publications
14,628
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113
Citations
Additional affiliations
July 2017 - June 2020
Applica
Position
  • Senior Deep Learning Specialist
October 2016 - March 2017
Weizmann Institute of Science
Position
  • PostDoc Position
September 2015 - September 2016
Polish Academy of Sciences
Position
  • PostDoc Position
Education
October 2011 - June 2015
University of Wroclaw
Field of study
  • Mathematics
October 2006 - June 2011
University of Wroclaw
Field of study
  • Mathematics

Publications

Publications (17)
Article
Full-text available
We define series of representations of the Thompson's groups $F$ and $T$, which are analogs of principal series representations of $SL(2,\R)$. We show that they are irreducible and classify them up to unitary equivalence. We also prove that they are different from representations induced from finite-dimensional representations of stabilizers of poi...
Article
Full-text available
Let $\Gamma$ be a Gromov hyperbolic group, endowed with an arbitrary left-invariant hyperbolic metric, quasi-isometric to a word metric. The action of $\Gamma$ on its boundary $\partial\Gamma$ endowed with the Patterson-Sullivan measure $\mu$, after an appropriate normalization, gives rise to a unitary representation of $\Gamma$ on $L^2(\partial\Ga...
Article
Full-text available
The Hecke algebra $\mathbb{C}_q[W]$ of a Coxter group $W$, associated to parameter $q$, can be completed to a von Neumann algebra $\mathcal{N}_q(W)$. We study such algebras in case where $W$ is right-angled. We determine the range of $q$ for which $\mathcal{N}_q(W)$ is a factor, i.e. has trivial center. Moreover, in case of nontrivial center, we pr...
Article
Full-text available
In the article we settle down the problem of permanence of property RD under group extensions. We show that if 1 → N → G → Q → 1 is a short exact sequence of compactly generated groups such that Q has property RD, and N has property RD with respect to the restriction of a word-length on G, then G has property RD. We also generalize the result of Ji...
Chapter
Full-text available
We introduce a simple new approach to the problem of understanding documents where non-trivial layout influences the local semantics. To this end, we modify the Transformer encoder architecture in a way that allows it to use layout features obtained from an OCR system, without the need to re-learn language semantics from scratch. We only augment th...
Preprint
Most of the existing methods for estimating the local intrinsic dimension of a data distribution do not scale well to high-dimensional data. Many of them rely on a non-parametric nearest neighbors approach which suffers from the curse of dimensionality. We attempt to address that challenge by proposing a novel approach to the problem: Local Intrins...
Preprint
The output structure of database-like tables, consisting of values structured in horizontal rows and vertical columns identifiable by name, can cover a wide range of NLP tasks. Following this constatation, we propose a framework for text-to-table neural models applicable to problems such as extraction of line items, joint entity and relation extrac...
Preprint
Full-text available
In this paper we introduce a novel approach to the problem of understanding documents where the local semantics is influenced by non-trivial layout. Namely, we modify the Transformer architecture in a way that allows it to use the graphical features defined by the layout, without the need to re-learn the language semantics from scratch, thanks to s...
Chapter
We propose an introduction to groups of partial automorphisms of locally finite trees. In particular we discuss Neretin's locally compact groups of spheromorphisms.
Article
Full-text available
We prove a generalization of Schur orthogonality relations for certain classes of representations of Gromov hyperbolic groups. We apply the obtained results to show that representations of non-abelian free groups associated to the Patterson-Sullivan measures corresponding to a wide class of invariant metrics on the group are monotonous in the sense...
Article
Full-text available
These are the notes for the mini-course on the property of rapid decay given at the Erwin Schrödinger Institute in Vienna between March 14th and 18th, 2016, as a part of the Measured Group Theory program. They include parts which were omitted during the lectures, and omit some parts which were included in the lectures (and now I think that they sho...
Article
Full-text available
We present an equivalent formulation of Jolissaint's theorem on permanence of property RD under group extensions satisfying some technical conditions, using notions more natural from the point of view of geometric group theory. Namely, we show that if $N$ is a polynomially distorted normal subgroup of $G$, and both $N$ and $G/N$ have property RD, t...
Preprint
Full-text available
This is the extended version of the talk we gave during the Arbeitsgemeinschaft on totally disconnected locally compact groups, held in Oberwolfach in October 2014. We give the definition of the Neretin group of spheromorphisms of the infinite $q$-regular tree, and describe its natural totally disconnected group topology, which is not the one that...
Article
Full-text available
We show the irreducibility of some unitary representations of the group of symplectomorphisms and the group of contactomorphisms. Comment: 8 pages; corrected metadata
Article
Full-text available
We prove a variant of the Titchmarsh convolution theorem for simply connected supersolvable Lie groups, namely we show that the convolution algebras of compactly supported continuous functions and compactly supported finite measures on such groups do not contain zero divisors. This can be also viewed as a topological version of the zero divisor con...

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Projects

Project (1)
Project
Development of a "layout-aware language model" allowing to deal with NLP tasks involving documents with non-trivial layout, e.g. text containing tables, charts, forms, formatting, etc.